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Finding the Fourth Proportional to 47,666.65, 65,779.10 and 26,445.46

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Solution

The fourth proportional to 47,666.65, 65,779.10 and 26,445.46 is: 36,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,666.65 : 65,779.10 = 26,445.46 : x
  2. Step 2: Convert to fraction form
    47,666.65/65,779.10 = 26,445.46/x
  3. Step 3: Cross multiply
    47,666.65x = 65,779.10 × 26,445.46
  4. Step 4: Simplify right side
    47,666.65x = 1,739,558,360.38
  5. Step 5: Solve for x
    x = 1,739,558,360.38/47,666.65
  6. Step 6: Final answer
    x = 36,494.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.